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Investigation of an anisotropic tortuosity in a Biot model of ultrasonic propagation in cancellous bone

Investigation of an anisotropic tortuosity in a Biot model of ultrasonic propagation in cancellous bone
Investigation of an anisotropic tortuosity in a Biot model of ultrasonic propagation in cancellous bone
The modeling of ultrasonic propagation in cancellous bone is relevant to the study of clinical bone assessment. Historical experiments revealed the importance of both the viscous effects of bone marrow and the anisotropy of the porous microstructure. Of those propagation models previously applied to cancellous bone, Biot's theory incorporates viscosity, but has only been applied in isotropic form, while Schoenberg's anisotropic model does not include viscosity. In this paper we present an approach that incorporates the merits of both models, by utilizing the tortuosity, a key parameter describing pore architecture. An angle-dependent tortuosity for a layered structure is used in Biot's theory to generate the “Stratified Biot Model” for cancellous bone, which is compared with published bone data. While the Stratified Biot model was inferior to Schoenberg's model for slow wave velocity prediction, the proposed model improved agreement fast wave velocity at high propagation angles, particularly when sorted for porosity. An attempt was made to improve the fast wave agreement at low angles by introducing an angle-dependent Young's Modulus, which, while improving the agreement of predicted fast wave velocity at low angles, degraded agreement at high angles. In this paper the utility of the tortuosity in characterizing the architecture of cancellous bone is highlighted
0001-4966
568-574
Hughes, Elinor R.
d79bfd86-cb1f-4159-bb2c-6abd013e8c94
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Petley, Graham W.
4f2da40b-3c7b-4adc-b75c-e24e62bb1cf0
Hughes, Elinor R.
d79bfd86-cb1f-4159-bb2c-6abd013e8c94
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
White, Paul R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Petley, Graham W.
4f2da40b-3c7b-4adc-b75c-e24e62bb1cf0

Hughes, Elinor R., Leighton, Timothy G., White, Paul R. and Petley, Graham W. (2007) Investigation of an anisotropic tortuosity in a Biot model of ultrasonic propagation in cancellous bone. Journal of the Acoustical Society of America, 121 (1), 568-574. (doi:10.1121/1.2387132).

Record type: Article

Abstract

The modeling of ultrasonic propagation in cancellous bone is relevant to the study of clinical bone assessment. Historical experiments revealed the importance of both the viscous effects of bone marrow and the anisotropy of the porous microstructure. Of those propagation models previously applied to cancellous bone, Biot's theory incorporates viscosity, but has only been applied in isotropic form, while Schoenberg's anisotropic model does not include viscosity. In this paper we present an approach that incorporates the merits of both models, by utilizing the tortuosity, a key parameter describing pore architecture. An angle-dependent tortuosity for a layered structure is used in Biot's theory to generate the “Stratified Biot Model” for cancellous bone, which is compared with published bone data. While the Stratified Biot model was inferior to Schoenberg's model for slow wave velocity prediction, the proposed model improved agreement fast wave velocity at high propagation angles, particularly when sorted for porosity. An attempt was made to improve the fast wave agreement at low angles by introducing an angle-dependent Young's Modulus, which, while improving the agreement of predicted fast wave velocity at low angles, degraded agreement at high angles. In this paper the utility of the tortuosity in characterizing the architecture of cancellous bone is highlighted

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Published date: 2007

Identifiers

Local EPrints ID: 45653
URI: https://eprints.soton.ac.uk/id/eprint/45653
ISSN: 0001-4966
PURE UUID: 8aa2dffb-9624-4918-913f-2871ef6501a4
ORCID for Timothy G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750
ORCID for Paul R. White: ORCID iD orcid.org/0000-0002-4787-8713
ORCID for Graham W. Petley: ORCID iD orcid.org/0000-0002-3295-0444

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Date deposited: 16 Apr 2007
Last modified: 14 Mar 2019 01:54

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Contributors

Author: Elinor R. Hughes
Author: Paul R. White ORCID iD

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